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Local reanalysis h-adaptive scheme for boundary element analysis of the Helmholtz eigenvalue problem

机译:亥姆霍兹特征值问题的边界元分析的局部再分析h自适应方案

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A simplified h-version of the adaptive boundary elements is proposed for the eigenvalue analysis of the Helmholtz equation. The new scheme considers the effect of each local boundary element refinement not on the eigenvlaue but on the eigenvector, which is devised for possible application of the conventional adaptive mesh construction strategy for boundary value problems. In this paper, for improvement of computational efficiency, the local reanalysis for obtaining the eigenvector is employed. The error indicator of the eigenvector in place of that of the eigenvalue, the global value, decides selectively the boundary elements to be refined. Utility of the proposed method is compared with, through some examples, those previously developed.
机译:针对Helmholtz方程的特征值分析,提出了一种自适应边界元的简化h版本。新方案考虑了每个局部边界元素细化的影响,而不是对特征向量的影响,而是对特征向量的影响,这是为将常规自适应网格构建策略可能用于边值问题而设计的。为了提高计算效率,本文采用局部重新分析来获得特征向量。特征向量的误差指示符代替特征值的误差指示符(全局值)有选择地决定要细化的边界元素。通过一些示例,将提出的方法的效用与先前开发的方法进行了比较。

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